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We have to see what fraction 6% represents. Start dividing 100% by two and see what percent we get after each half life. After 1 half life we have 50%, after 2 we have 25%, after 3 we have 12.5% and after 4 we have 6.25%. So about 4 half lives. Carbon-14 has a half life of 5730 years, so the wood is 4 x 5730 or 22,920 years

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Q: Suppose that you measure the intensity of radiation from carbon-14 in an ancient piece of wood to be 20 of what it would be in a freshly cut piece of wood How old is this artifact?
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Suppose that you measure the intensity of radiation from carbon-14 in an ancient piece of wood to be 6 percent of what it would be in a freshly cut piece of wood How old is this artifact?

Based on the half-life of carbon-14 (about 5730 years), if the intensity of radiation from carbon-14 in the ancient wood is 6 percent of that in a fresh piece, the wood is approximately 3 half-lives old (5730 years x 3 = 17,190 years). Therefore, the artifact is roughly 17,190 years old.


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